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643283211264 = 2103761275167
BaseRepresentation
bin10010101110001101010…
…10101101010000000000
32021111102111212000010220
421113012222231100000
541014421000230024
61211304211423040
764322105035221
oct11270652552000
92244374760126
10643283211264
112288a6669881
12a480a2b4a80
1348879c94515
14231c68db248
1511aeebdce79
hex95c6aad400

643283211264 has 88 divisors (see below), whose sum is σ = 1716843595008. Its totient is φ = 214145187840.

The previous prime is 643283211239. The next prime is 643283211281. The reversal of 643283211264 is 462112382346.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2200209 + ... + 2475375.

Almost surely, 2643283211264 is an apocalyptic number.

643283211264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643283211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858421797504).

643283211264 is an abundant number, since it is smaller than the sum of its proper divisors (1073560383744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

643283211264 is a wasteful number, since it uses less digits than its factorization.

643283211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275951 (or 275933 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 643283211264 in words is "six hundred forty-three billion, two hundred eighty-three million, two hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 761 768 1024 1522 1536 2283 3044 3072 4566 6088 9132 12176 18264 24352 36528 48704 73056 97408 146112 194816 275167 292224 389632 550334 584448 779264 825501 1100668 1168896 1651002 2201336 2337792 3302004 4402672 6604008 8805344 13208016 17610688 26416032 35221376 52832064 70442752 105664128 140885504 209402087 211328256 281771008 418804174 422656512 628206261 837608348 845313024 1256412522 1675216696 2512825044 3350433392 5025650088 6700866784 10051300176 13401733568 20102600352 26803467136 40205200704 53606934272 80410401408 107213868544 160820802816 214427737088 321641605632 643283211264